<span>Answer:
Fn is the force acting on the nut and d is the distance of the nut from the pivot.
F is the applied force at one end and D is the distance of the end from the pivot.
F.D = Fn*d</span>
Answer:
(A) = 3.57 m
Explanation:
from the question we are given the following:
diameter (d) = 3.2 m
mass (m) == 42 kg
angular speed (ω) = 4.27 rad/s
from the conservation of energy
mgh = 0.5 mv^{2} + 0.5Iω^{2} ...equation 1
where
Inertia (I) = 0.5mr^{2}
ω = \frac{v}{r}
equation 1 now becomes
mgh = 0.5 mv^{2} + 0.5(0.5mr^{2})(\frac{v}{r})^{2}
gh = 0.5 v^{2} + 0.5(0.5)(v)^{2}
4gh = 2v^{2} + v^{2}
h = 3v^{2} ÷ 4 g .... equation 2
from ω = \frac{v}{r}
v = ωr = 4.27 x (3.2 ÷ 2)
v = 6.8 m/s
now substituting the value of v into equation 2
h = 3v^{2} ÷ 4 g
h = 3 x (6.8)^{2} ÷ (4 x 9.8)
h = 3.57 m
Answer:
from
charge.
Explanation:
Given
The magnitude of the first charge is ![Q_1=3.5\ nC](https://tex.z-dn.net/?f=Q_1%3D3.5%5C%20nC)
The magnitude of the second charge is ![Q_2=5\ nC](https://tex.z-dn.net/?f=Q_2%3D5%5C%20nC)
charge must be placed in between the two charges to establish equilibrium
The electrostatic force is given by
![F=\dfrac{kq_1q_2}{r^2}](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7Bkq_1q_2%7D%7Br%5E2%7D)
Equilibrium will be established when force by both the charges balance out each other. Suppose
is placed at a distance of
cm from
. So, we can write
![\Rightarrow \dfrac{k(3.5)(-6)}{x^2}=\dfrac{k(5)(-6)}{(40-x)^2}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bk%283.5%29%28-6%29%7D%7Bx%5E2%7D%3D%5Cdfrac%7Bk%285%29%28-6%29%7D%7B%2840-x%29%5E2%7D)
Canceling similar terms
![\Rightarrow \left [ \dfrac{40-x}{x}\right ]^2=\dfrac{10}{7}\\\\\Rightarrow \dfrac{40-x}{x}=\sqrt{\dfrac{10}{7}}=1.195\\\\\Rightarrow 40-x=1.195x\\\Rightarrow 40=2.195x\\\Rightarrow x=18.22\ cm](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cleft%20%5B%20%20%5Cdfrac%7B40-x%7D%7Bx%7D%5Cright%20%5D%5E2%3D%5Cdfrac%7B10%7D%7B7%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7B40-x%7D%7Bx%7D%3D%5Csqrt%7B%5Cdfrac%7B10%7D%7B7%7D%7D%3D1.195%5C%5C%5C%5C%5CRightarrow%2040-x%3D1.195x%5C%5C%5CRightarrow%2040%3D2.195x%5C%5C%5CRightarrow%20x%3D18.22%5C%20cm)
Thus, the equilibrium position is
from
charge.
Answer:
a. exhibits retrograde motion.
Explanation:
When earth catches up to a slower moving outer planets like for example Saturn and jupitar they seems to show the retrograde motion which is actually an illusion but there exits the real retrograde motion too in some cases. In retrograde motion planets appears to move in the backward direction like from east to west rather then from west to east in the sky.
The original purpose was to reform the articles of the confederation and fix them but they decided to completely scrap it and write the constitution we have in place today